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Articles

Generalized thermoelasticity of a piezoelectric layer

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Pages 863-873 | Received 30 Oct 2018, Accepted 07 Mar 2019, Published online: 04 Apr 2019

References

  • R. B. Hetnarski and J. Ignaczak, “Generalized Thermoelasticity,” J. Thermal Stresses, vol. 22, pp. 451–1476, 1999.
  • R. B. Hetnarski and J. Ignaczak, “Nonclassical dynamical thermoelasticity,” Int. J. Solids Struct., vol. 37, no. 1–2, pp. 215–224, 2000. DOI: 10.1016/S0020-7683(99)00089-X.
  • R. B. Hetnarski and M. R. Eslami, Thermal Stresses, Advanced Theory and Applications. Amsterdam, The Netherlands: Springer, 2009.
  • D. S. Chandrasekharaiah, “A generalized linear thermoelastieity theory for piezoelectric media,” Acta Mech., vol. 71, no. 1–4, pp. 39–49, 1988. DOI: 10.1007/BF01173936.
  • T. He, L. Cao, and S. Li, “Dynamic response of a piezoelectric rod with thermal relaxation,” J. Sound Vibration, vol. 306, no. 3–5, pp. 897–907, 2007. DOI: 10.1016/j.jsv.2007.06.018.
  • M. H. Babaei and Z. T. Chen, “Dynamic response of a thermopiezoelectric rod due to a moving heat source,” Smart Mater. Struct., vol. 18, no. 2, pp. 025003, 2009. DOI: 10.1088/0964-1726/18/2/025003.
  • A. S. El-Karamany and M. A. Ezzat, “Propagation of discontinuities in thermopiezoelectric rod,” J. Thermal Stresses, vol. 28, no. 10, pp. 997–1030, 2005. DOI: 10.1080/01495730590964954.
  • T. He, X. Tian, and Y. P. Shen, “State space approach to one-dimensional thermal shock problem for a semi-infinite piezoelectric rod,” Int. J. Eng. Sci., vol. 40, no. 10, pp. 1081–1097, 2002. DOI: 10.1016/S0020-7225(02)00005-8.
  • M. I. A. Othman and E. A. A. Ahmed, “Influence of the gravitational field on a piezothermoelastic rotating medium with G-L theory,” Eur. Phys. J. Plus, vol. 131, pp. 358, 2016. DOI: 10.1140/epjp/i2016-16358-1.
  • M. H. Babaei and Z. T. Chen, “The transient coupled thermo-piezoelectric response of a functionally graded piezoelectric hollow cylinder to dynamic loadings,” Proc. R. Soc. A, vol. 466, no. 2116, pp. 1077–1091, 2010. DOI: 10.1098/rspa.2009.0543.
  • Y. Ma and T. He, “Investigation on a thermo-piezoelectric problem with temperature-dependent properties under fractional order theory of thermoelasticity,” Mech. Adv. Mater. Struct., DOI: 10.1080/15376494.2017.1410899.
  • M. H. Babaei and Z. T. Chen, “Transient thermopiezoelectric response of a one-dimensional functionally graded piezoelectric medium to a moving heat source,” Arch. Appl. Mech., vol. 80, no. 7, pp. 803–813, 2010. DOI: 10.1007/s00419-009-0342-x.
  • A. H. Akbarzadeh, M. H. Babaei, and Z. T. Chen, “Coupled thermopiezoelectric behaviour of a one-dimensional functionally graded piezoelectric medium based on C-T Theory,” J. Mech. Eng. Sci., vol. 225, no. 11, pp. 2537–2551, 2011. DOI: 10.1177/0954406211406954.
  • Y. Kiani and M. R. Eslami, “Nonlinear generalized thermoelasticity of an isotropic layer based on Lord-Shulman theory,” Eur. J. Mech.-A/Solids, vol. 61, pp. 245–253, 2017. DOI: 10.1016/j.euromechsol.2016.10.004.
  • Y. Kiani and M. R. Eslami, “A GDQ approach to thermally nonlinear generalized thermoelasticity of disks,” J. Thermal Stresses, vol. 40, no. 1, pp. 121–133, 2017. DOI: 10.1080/01495739.2016.1217179.
  • Y. Kiani and M. R. Eslami, “The GDQ Approach to Thermally Nonlinear Generalized Thermoelasticity of a Hollow,” Int. J. Mech. Sci., vol. 118, pp. 195–204, 2016. DOI: 10.1016/j.ijmecsci.2016.09.019.
  • C. Shu, Differential Quadrature and Its Application in Engineering. New York: Springer, 2000.
  • J. R. Quan and C. T. Chang, “New insights in solving distributed system equations by the quadrature method - I. Analysis,” Comput. Chem. Eng., vol. 13, pp. 779–788, 1989. DOI: 10.1016/0098-1354(89)85051-3.
  • J. R. Quan and C. T. Chang, “New insights in solving distributed system equations by the quadrature method - II. Numerical experiments,” Comput. Chem. Eng., vol. 13, pp. 1017–1024, 1989. DOI: 10.1016/0098-1354(89)87043-7.
  • M. R. Eslami, Finite elements methods in mechanics. Cham: Springer, 2014.

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